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Finding the Fourth Proportional to 96,202.54, 143,599.31 and 84,839.93

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Solution

The fourth proportional to 96,202.54, 143,599.31 and 84,839.93 is: 126,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,202.54 : 143,599.31 = 84,839.93 : x
  2. Step 2: Convert to fraction form
    96,202.54/143,599.31 = 84,839.93/x
  3. Step 3: Cross multiply
    96,202.54x = 143,599.31 × 84,839.93
  4. Step 4: Simplify right side
    96,202.54x = 12,182,954,266.25
  5. Step 5: Solve for x
    x = 12,182,954,266.25/96,202.54
  6. Step 6: Final answer
    x = 126,638.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.